Elisabeth Terland gave the visitors the lead after only ten minutes but England levelled soon after.
Brighton seemed on course for three points after Lee Geum-min tucked a long-range shot past Rebecca Spencer.
But England was on hand once again to power an effort past Lydia Williams and salvage a draw.
England, who join Spurs in January from Chelsea, has already scored eight goals for the north London side.
They now hold a three-point advantage over bottom-placed Reading, though have played one game more.
Brighton, meanwhile, are only two clear of the relegation zone.